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Finding the Fourth Proportional to 5,300,487.93, 7,951,283.42 and 1,462,310.49

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Solution

The fourth proportional to 5,300,487.93, 7,951,283.42 and 1,462,310.49 is: 2,193,617.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,300,487.93 : 7,951,283.42 = 1,462,310.49 : x
  2. Step 2: Convert to fraction form
    5,300,487.93/7,951,283.42 = 1,462,310.49/x
  3. Step 3: Cross multiply
    5,300,487.93x = 7,951,283.42 × 1,462,310.49
  4. Step 4: Simplify right side
    5,300,487.93x = 11,627,245,146,717.52
  5. Step 5: Solve for x
    x = 11,627,245,146,717.52/5,300,487.93
  6. Step 6: Final answer
    x = 2,193,617.89

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.